Summary: Very recently, S. Sonker and U. Singh [J. Inequal. Appl. 2012, Article ID 278, 7 p. (2012; Zbl 1281.42006)] determined the degree of approximation of the conjugate of \(2 \pi\)-periodic signals (functions) belonging to \(\mathrm{Lip}(\alpha, r)\) \((0 < \alpha \leq 1, r \geq 1)\)-class by using Cesàro-Euler \((C,1) (E,q)\) means of their conjugate trigonometric Fourier series. In the present paper, we generalize the result of Sonker and Singh [loc. cit.] on the generalized weighted Lipschitz \(W(L_r, \xi(t)), (r \geq 1)\)-class of signals (functions) by product summability \((C,1) (E,q)\) transform of conjugate trigonometric Fourier series. Our result also generalizes the result of S. Lal and P. N. Singh [Tamkang J. Math. 33, No. 3, 269–274 (2002; Zbl 1095.42500)]. Few applications and example of approximation of functions will also be highlighted.